dy 1. Solve the equation x2. +x y= 1. dx

Q: dy Find the solution of the equation 2 + 3y = 2x with y(0) = 0 dx

A: According to the given information it is required to solve the given differential equation:…

Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: S16 -X2 メー dy dx + x?+yz

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Q: dY 5) Solve: dx Y(3) = 5 Y

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Q: Solve dy _ _2+ e²x + y – 1 2* +, %| dx

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Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: dy ху Solve dx (1+y2)

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Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

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Q: 4.x?y³. dx = xyt + 2 4x2,3 dy 4

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Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: Calculate dy/dx  Simplify your answer.  y = x3(8 − x2)   dy/dx=

A: Product rule:

Q: dy solve for dx y = (x - 4 tan x)3,

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Q: Solve the equation dy a - x- = a dx dy + dx

A: The given differential equation is a - xdydx = ay2+dydx.First, we will simplify this.a - xdydx =…

Q: dy . Solve + e*+3r = 0, y #0. dx

A: Given, dydx+1yey2+3x = 0     ; y≠0 We have to solve the differential equation.

Q: Solve the equation dy dx? В - w(1 — х) — 0, | subject to the conditions that y = 0 and dy dx when x…

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Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: dy dx x + y 31.

A: we have to integrate the given definite integral ∫12∫041x+ydydx

Q: 36. dy dx y=x2/3

A: The given integral is ∫01∫x231xey4dy dx. From the above integral, the region is given by…

Q: dY X 5) Solve: dx Y(3) = 5

A: dy/dx = x/y This is a variable seperable differential equation.

Q: dy 10. Solve: dx x+3y (Hint: y = xv(x). ) х-у

A: The given data is: dydx=x+3yx-y         .....(1) To solve the given differential equation.

Q: Calculate the derivative.

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Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

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Q: Solve d'y dy + 6y = 0 dx dx 2

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Q: dy . dx Suppose x and y are variables that satisfy the equation x – y? = 12. What is

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Q: dy +ycotx-cosec x. dx Solve

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Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

Q: dy 10. y-x dx dx

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Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: Slove this equation -2/x e y dx =1 1 x / dy

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Q: Solve dy/dx = 1 + exp(y - x+ 5).

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Q: d?y + 4.+5y x + 2 solve dx? dx

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Q: 2. Solve the DE: (2x + dx + 2y ) dy = 0 1+ x?y? 1+ x?y?

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Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: 24. dy + y = 12r; dx r + 2r dx dx

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Q: Solve dy/dx=2xy/(x^2-y^2)

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Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: /16- y? (x² + y?) dx dy 0 Jo

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Q: Solve: (r* + y") dy = xy dx

A: we have to solve the given differential equation . (x2+y2)dy=xydx

Q: Solve: dy/dx = 1 + exp(y - x + 5).

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Q: dy Determine the solution of = 8 – 3y given y (0) = 12 dx

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Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: dy 4. y = e*y? dx

A: Solution 4: Given differential equation is dydx-y=exy2 We can write it as 1y2dydx-1y=ex         (1)

Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: dy 1) +y = 20+ 10x dx

A: This is the first order linear differential equation.

Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

Q: dy Зу + 2 = 3x, x > 0 dx (Solve for y)

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Q: dx 3. S7 ex – 49 4. fx² Cot-(x) dx

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: -2ex + 2e dx (ex + e-x)2 I e* + e¬x,

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.